Active tuning of the hybridization effects of mid-infrared surface plasmon resonance in a black phosphorus sheet array and a metal grating slit

Yan Huang; Yan Liu; Cizhe Fang; Yao Shao; Genquan Han; Jincheng Zhang; Yue Hao

doi:10.1364/OME.10.000014

Active tuning of the hybridization effects of mid-infrared surface plasmon resonance in a black phosphorus sheet array and a metal grating slit

Yan Huang, Yan Liu, Cizhe Fang, Yao Shao, Genquan Han, Jincheng Zhang, and Yue Hao

Optical Materials Express
Vol. 10,
Issue 1,
pp. 14-28
(2020)
•https://doi.org/10.1364/OME.10.000014

Get Citation
Copy Citation Text
Yan Huang, Yan Liu, Cizhe Fang, Yao Shao, Genquan Han, Jincheng Zhang, and Yue Hao, "Active tuning of the hybridization effects of mid-infrared surface plasmon resonance in a black phosphorus sheet array and a metal grating slit," Opt. Mater. Express 10, 14-28 (2020)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Get PDF (1371 KB)
Set citation alerts
Save article

Related Topics
Table of Contents Category
- Plasmonics
Optics & Photonics Topics
?

The topics in this list come from the OSA Optics and Photonics Topics applied to this article.

About this Article
History
- Original Manuscript: September 23, 2019
- Revised Manuscript: November 15, 2019
- Manuscript Accepted: November 18, 2019
- Published: December 2, 2019

Accessible

Open Access

Abstract

In this paper, the absorption characteristics of a hybrid structure composed of a black phosphorus (BP) nanostrip array based on localized surface plasmon resonance (LSPR) and a metal grating slit structure have been analyzed systematically. Firstly, we theoretically investigate light-matter interaction in different dimensions of BP nanostrip arrays along armchair and zigzag direction, revealing the absorption property and anisotropic plasmonic response. Besides, the transmission characteristics of the metal grating slit structure with different geometric dimensions are thoroughly analyzed by the transmission spectra and electric intensity distributions. At last, by combining the two structures, we increased the absorption of BP from 72% to 83.6% at 7.04 µm, and this hybrid BP structure demonstrates high absorption at mid-infrared wavelength regime, predicting a promising future for the directional dependent plasmonic devices based on two-dimensional (2D) materials.

Full Article | PDF Article

OSA Recommended Articles

Polarization dependent, plasmon-enhanced infrared transmission through gold nanoslits on monolayer black phosphorus

Guangsheng Deng, Sina Abedini Dereshgi, Xianglian Song, and Koray Aydin
J. Opt. Soc. Am. B 36(8) F109-F116 (2019)

Nanostructured multiple-layer black phosphorus photodetector based on localized surface plasmon resonance

Yan Huang, Xinyi Liu, Yan Liu, Yao Shao, Siqing Zhang, Cizhe Fang, Genquan Han, Jincheng Zhang, and Yue Hao
Opt. Mater. Express 9(2) 739-750 (2019)

Strong coupling between magnetic plasmons and surface plasmons in a black phosphorus-spacer-metallic grating hybrid system

Ye Ming Qing, Hui Feng Ma, and Tie Jun Cui
Opt. Lett. 43(20) 4985-4988 (2018)

References

View by:
Article Order
|
Year
|
Author
|
Publication

F. Xia, H. Wang, D. Xiao, M. Dubey, and A. Ramasubramaniam, “Two-dimensional material nanophotonics,” Nat. Photonics 8(12), 899–907 (2014).
[Crossref]
F. H. Koppens, T. Mueller, P. Avouris, A. Ferrari, M. Vitiello, and M. Polini, “Photodetectors based on graphene, other two-dimensional materials and hybrid systems,” Nat. Nanotechnol. 9(10), 780–793 (2014).
[Crossref]
S. Z. Butler, S. M. Hollen, L. Cao, Y. Cui, J. A. Gupta, H. R. Gutiérrez, T. F. Heinz, S. S. Hong, J. Huang, A. F. Ismach, E. Johnston-Halperin, M. Kuno, V. V. Plashnitsa, R. D. Robinson, R. S. Ruoff, S. Salahuddin, J. Shan, L. Shi, M. G. Spencer, M. Terrones, W. Windl, and J. E. Goldberger, “Progress, Challenges, and Opportunities in Two-Dimensional Materials Beyond Graphene,” ACS Nano 7(4), 2898–2926 (2013).
[Crossref]
Q. H. Wang, K. Kalantar-Zadeh, A. Kis, J. N. Coleman, and M. S. Strano, “Electronics and optoelectronics of two-dimensional transition metal dichalcogenides,” Nat. Nanotechnol. 7(11), 699–712 (2012).
[Crossref]
Y. C. Du, H. Liu, Y. X. Deng, and P. D. Ye, “Device Perspective for Black Phosphorus Field-Effect Transistors Contact Resistance, Ambipolar and Scaling,” ACS Nano 8(10), 10035–10042 (2014).
[Crossref]
F. Xia, D. B. Farmer, Y. Lin, and P. Avouris, “Graphene field-effect transistors with high on/off current ratio and large transport band gap at room temperature,” Nano Lett. 10(2), 715–718 (2010).
[Crossref]
S. C. H. Lui, Z. Q. Li, K. F. Mak, E. Cappelluti, and T. F. Heinz, “Observation of an electrically tunable band gap in trilayer graphene,” Nat. Phys. 7(12), 944–947 (2011).
[Crossref]
W. Tang, L. Wang, X. Chen, C. Liu, A. Yu, and W. Lu, “Dynamic metamaterial based on the graphene split ring high-Q Fano-resonnator for sensing applications,” Nanoscale 8(33), 15196–15204 (2016).
[Crossref]
S. Sekwao and J. P. Leburton, “Electrical tunability of soft parametric resonance by hot electrons in graphene,” Appl. Phys. 103(14), 143108 (2013).
[Crossref]
M. Gao, N. Zhang, D. Ji, H. Song, Y. Liu, and Q. Gan, “Super absorbing metasurfaces with hybrid Ag-Au nanostructures for surface-enhanced Raman spectroscopy sensing of drugs and chemicals,” Small Methods 2(7), 1800045 (2018).
[Crossref]
T. V. Teperik, V. V. Popov, and F. J. García de Abajo, “Total light absorption in plasmonic nanostructures,” J. Opt. A: Pure Appl. Opt. 9(9), S458–S462 (2007).
[Crossref]
J. Christensen, A. Manjavacas, S. Thongrattanasiri, Frank H. L. Koppens, and F. J. García de Abajo, “Graphene Plasmon Waveguiding and Hybridization in Individual and Paired Nanoribbons,” ACS Nano 6(1), 431–440 (2012).
[Crossref]
A. Yu Nikitin, F. Guinea, F. J. Garcia-Vidal, and L. Martin-Moreno, “Surface plasmon enhanced absorption and suppressed transmission in periodic arrays of graphene ribbons,” Phys. Rev. B 85(8), 081405 (2012).
[Crossref]
H. Yan, X. Li, B. Chandra, G. Tulevski, and F. Xia, “Tunable infrared plasmonic devices using graphene insulator stacks,” Nat. Nanotechnol. 7(5), 330–334 (2012).
[Crossref]
J. R. Piper and S. Fan, “Total Absorption in a Graphene Monolayer in the Optical Regime by Critical Coupling with a Photonic Crystal Guided Resonance,” ACS Photonics 1(4), 347–353 (2014).
[Crossref]
F. OuYang, J. Xiao, R. Guo, H. Zhang, and H. Xu, “Transport properties of T-shaped and crossed junctions based on graphene nanoribbons,” Nanotechnology 20(5), 055202 (2009).
[Crossref]
S. Ke, B. Wang, H. Huang, H. Long, K. Wang, and P. Lu, “Plasmonic absorption enhancement in periodic cross-shaped graphene arrays,” Opt. Express 23(7), 8888–8900 (2015).
[Crossref]
Y. Liu, R. Cheng, L. Liao, H. L. Zhou, J. W. Bai, G. Liu, L. X. Liu, Y. Huang, and X. F. Duan, “Plasmon resonance enhanced multicolour photodetection by graphene,” Nat. Commun. 2(1), 579 (2011).
[Crossref]
C. J. Badioli, M. Alonso-González, P. Thongrattanasiri, S. Huth, F. Osmond, and F. H. L. Koppens, “Optical Nano-Imaging of GateTunable Graphene Plasmons,” Nature 487(7405), 77–81 (2012).
[Crossref]
Z. Fang, Y. Wang, A. E. Schlather, Z. Liu, P. M. Ajayan, F. J. García de Abajo, P. Nordlander, X. Zhu, and N. J. Halas, “Active Tunable Absorption Enhancement with Graphene Nanodisk Arrays,” Nano Lett. 14(1), 299–304 (2014).
[Crossref]
X. Ni, L. Wang, J. Zhu, X. Chen, and W. Lu, “Surface plasmons in a nanostructured black phosphorus flake,” Opt. Lett. 42(13), 2659–2662 (2017).
[Crossref]
L. Han, L. Wang, H. Xing, and X. Chen, “Active Tuning of Midinfrared Surface Plasmon Resonance and Its Hybridization in Black Phosphorus Sheet Array,” ACS Photonics 5(9), 3828–3837 (2018).
[Crossref]
H. Wang, X. Wang, F. Xia, L. Wang, H. Jiang, Q. Xia, M. L. Chin, M. Dubey, and S. J. Han, “Black phosphorus radio-frequency transistors,” Nano Lett. 14(11), 6424–6429 (2014).
[Crossref]
M. Buscema, D. J. Groenendijk, S. I. Blanter, G. A. Steele, H. S. J. van der Zant, and A. Castellanos-Gomez, “Fast and broadband photoresponse of few-layer black phosphorus field-effect transistors,” Nano Lett. 14(6), 3347–3352 (2014).
[Crossref]
Y. Deng, Z. Luo, N. J. Conrad, H. Liu, Y. Gong, S. Najmaei, P. M. Ajayan, J. Lou, X. Xu, and P. D. Ye, “Black phosphorus-monolayer MoS2 van der Waals heterojunction p-n diode,” ACS Nano 8(8), 8292–8299 (2014).
[Crossref]
M. Buscema, D. J. Groenendijk, G. A. Steele, H. S. van der Zant, and A. Castellanos Gomez, “Photovoltaic effect in few-layer black phosphorus PN junctions defined by local electrostatic gating,” Nat. Commun. 5(1), 4651 (2014).
[Crossref]
M. Engel, M. Steiner, and P. Avouris, “Black phosphorus photodetector for multispectral, high-resolution imaging,” Nano Lett. 14(11), 6414–6417 (2014).
[Crossref]
Y. Du, C. Ouyang, S. Shi, and M. Lei, “Ab initio studies on atomic and electronic structures of black phosphorus,” J. Appl. Phys. 107(9), 093718 (2010).
[Crossref]
Ø Prytz and E. Flage-Larsen, “The influence of exact exchange corrections in vander Waals layered narrow bandgap black phosphorus,” J. Phys.: Condens. Matter 22(1), 015502 (2010).
[Crossref]
S. Narita, Y. Akaham, Y. Tsukiyama, K. Muro, S. Mori, S. Endo, M. Taniguchi, M. Seki, S. Suga, A. Mikuni, and H. Kanzaki, “Electrical and optical properties of black phosphorus single crystals,” Physica 117-118, 422–424 (1983).
[Crossref]
Y. Maruyama, S. Suzuki, K. Kobayashi, and S. Tanuma, “Synthesis and some properties of black phosphorus single crystals,” Physica 105(1-3), 99–102 (1981).
[Crossref]
J. Qiao, X. Kong, Z. Hu, F. Yang, and W. Ji, “High-mobility transport anisotropy and linear dichroism in few-layer black phosphorus,” Nat. Commun. 5(1), 4475 (2014).
[Crossref]
X. Wang and S. Lan, “Optical properties of black phosphorus,” Adv. Opt. Photonics 8(4), 618–655 (2016).
[Crossref]
Z. Bao, H. Wu, and Y. Zhou, “Edge plasmons in monolayer black phosphorus,” Appl. Phys. Lett. 109(24), 241902 (2016).
[Crossref]
H. Lu, Y. Gong, D. Mao, X. Gan, and J. Zhao, “Strong plasmonic confinement and optical force in phosphorene pairs,” Opt. Express 25(5), 5255–5263 (2017).
[Crossref]
N. Mao, J. Tang, L. Xie, J. Wu, B. Han, and J. Zhang, “Optical Anisotropy of Black Phosphorus in the Visible Regime,” J. Am. Chem. Soc. 138(1), 300–305 (2016).
[Crossref]
X. Ling, S. Huang, E. H. Hasdeo, L. Liang, and M. S. Dresselhaus, “Anisotropic Electron-Photon and Electron-Phonon Interactions in Black Phosphorus,” Nano Lett. 16(4), 2260–2267 (2016).
[Crossref]
J. Wang and Y. Jiang, “Infrared absorber based on sandwiched two-dimensional black phosphorus,” Opt. Express 25(5), 5206–5216 (2017).
[Crossref]
Z. Liu and K. Aydin, “Localized surface plasmons in nanostructured monolayer black phosphorus,” Nano Lett. 16(6), 3457–3462 (2016).
[Crossref]
F. Xiong, J. Zhang, Z. Zhu, X. Yuan, and S. Qin, “Strong anisotropic perfect absorption in monolayer black phosphorous and its application as tunable polarizer,” J. Opt. 19(7), 075002 (2017).
[Crossref]
D. C. Serrano, J. S. Gomez-Diaz, A. A. Melcon, and A. Alù, “Black phosphorus plasmonics: anisotropic elliptical propagation and nonlocality-induced canalization,” J. Opt. 18(10), 104006 (2016).
[Crossref]
K. Lam and J. Guo, “Plasmonics in strained monolayer black phosphorus,” J. Appl. Phys. 117(11), 113105 (2015).
[Crossref]
T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref]
D. A. Prishchenko, V. G. Mazurenko, M. I. Katsnelson, and A. N. Rudenko, “Coulomb interactions and screening effects in few-layer black phosphorus: a tight-binding consideration beyond the long-wavelength limit,” 2D Mater. 4(2), 025064 (2017).
[Crossref]
A. Nemilentsau, T. Low, and G. W. Hanson, “Anisotropic 2D Materials for Tunable Hyperbolic Plasmonics,” Phys. Rev. Lett. 116(6), 066804 (2016).
[Crossref]
R. Peng, K. Khaliji, N. Youngblood, R. Grassi, T. Low, and M. Li, “Mid-infrared Electro-Optic Modulation in Few-layer Black Phosphorus,” Nano Lett. 17(10), 6315–6320 (2017).
[Crossref]
Y. Huang, X. Liu, Y. Liu, Y. Shao, S. Zhang, C. Fang, G. Han, J. Zhang, and Y. Hao, “Nanostructured multiple-layer black phosphorus photodetector based on localized surface plasmon resonance,” Opt. Mater. Express 9(2), 739–750 (2019).
[Crossref]
X. M. Wang, Z. Z. Cheng, K. Xu, H. K. Tsang, and J. B. Xu, “High Responsitivity Graphene/Silicon Heterostructure Waveguide Photodetectors,” Nat. Photonics 7(11), 888–891 (2013).
[Crossref]
N. Youngblood, C. Chen, S. J. Koester, and M. Li, “Waveguide-integrated black phosphorus photodetector with high responsitivity and low dark current,” Nat. Photonics 9(4), 247–252 (2015).
[Crossref]
A. Melloni, F. Morichetti, and M. Martinelli, “Optical slow wave structures,” Opt. Photonics News 14(11), 44–48 (2003).
[Crossref]
F. J. Garciavidal, L. Martinmoreno, H. J. Lezec, and T. W. Ebbesen, “Focusing light with a single subwavelength aperture flanked by surface corrugations,” Appl. Phys. Lett. 83(22), 4500–4502 (2003).
[Crossref]
H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martinmoreno, F. J. Garciavidal, and T. W. Ebbesen, “Beaming Light from a Subwavelength Aperture,” Science 297(5582), 820–822 (2002).
[Crossref]
C. Chen, N. Youngblood, R. Peng, D. Yoo, D. A. Mohr, and M. Li, “Three-Dimensional Integration of Black Phosphorus Photodetector with Silicon Photonics and Nanoplasmonics,” Nano Lett. 17(2), 985–991 (2017).
[Crossref]
J. G. Rivas, C. Janke, P. H. Bolivar, and H. Kurz, “Transmission of THz radiation through InSb gratings of subwavelength Apertures,” Opt. Express 13(3), 847–859 (2005).
[Crossref]
Q. Fo, L. Pan, X. Chen, Q. Xu, C. Ouyang, and W. Zhang, “Anisotropic plasmonic response of black phosphorus nanostrip in terahertz metamaterials,” IEEE Photonics J. 10(3), 1–9 (2018).
[Crossref]
J. Nong, W. Wei, W. Wang, G. Lan, Z. Shang, J. Yi, and L. Tang, “Strong coherent coupling between graphene surface plasmons and anisotropic black phosphorus localized surface plasmons,” Opt. Express 26(2), 1633–1644 (2018).
[Crossref]
C. Fang, Y. Liu, G. Han, Y. Shao, Y. Huang, and Y. Hao, “Porous Structures for Absorption Enhancement in Black Phosphorus Active Layer Based on Plasmonic Nanocavity,” IEEE Photonics J. 9(6), 4800210 (2017).
T. H. Isaac, J. Gómez Rivas, J. R. Sambles, W. L. Barnes, and E. Hendry, “Surface plasmon mediated transmission of subwavelength slits at THz frequencies,” Phys. Rev. B 77(11), 113411 (2008).
[Crossref]
T. Thio, K. M. Pellerin, and R. A. Linke, “Enhanced light transmission through a single subwavelength aperture,” Opt. Lett. 26(24), 1972–1974 (2001).
[Crossref]
F. J. García-Vidal, H. J. Lezec, T. W. Ebbesen, and L. Martín-Moreno, “Multiple Paths to Enhance Optical Transmission through a Single Subwavelength Slit,” Phys. Rev. Lett. 90(21), 213901 (2003).
[Crossref]
S. Fan and W. Suh, “Temporal coupled-mode theory for the Fano resonance in optical resonators,” J. Opt. Soc. Am. A 20(3), 569–572 (2003).
[Crossref]
S. Collin, F. Pardo, R. Teissier, and J. L. Pelouard, “Horizontal and vertical surface resonances in transmission metallic gratings,” J. Opt. A: Pure Appl. Opt. 4(5), S154–S160 (2002).
[Crossref]

2019 (1)

Y. Huang, X. Liu, Y. Liu, Y. Shao, S. Zhang, C. Fang, G. Han, J. Zhang, and Y. Hao, “Nanostructured multiple-layer black phosphorus photodetector based on localized surface plasmon resonance,” Opt. Mater. Express 9(2), 739–750 (2019).
[Crossref]

2018 (4)

Q. Fo, L. Pan, X. Chen, Q. Xu, C. Ouyang, and W. Zhang, “Anisotropic plasmonic response of black phosphorus nanostrip in terahertz metamaterials,” IEEE Photonics J. 10(3), 1–9 (2018).
[Crossref]

J. Nong, W. Wei, W. Wang, G. Lan, Z. Shang, J. Yi, and L. Tang, “Strong coherent coupling between graphene surface plasmons and anisotropic black phosphorus localized surface plasmons,” Opt. Express 26(2), 1633–1644 (2018).
[Crossref]

M. Gao, N. Zhang, D. Ji, H. Song, Y. Liu, and Q. Gan, “Super absorbing metasurfaces with hybrid Ag-Au nanostructures for surface-enhanced Raman spectroscopy sensing of drugs and chemicals,” Small Methods 2(7), 1800045 (2018).
[Crossref]

L. Han, L. Wang, H. Xing, and X. Chen, “Active Tuning of Midinfrared Surface Plasmon Resonance and Its Hybridization in Black Phosphorus Sheet Array,” ACS Photonics 5(9), 3828–3837 (2018).
[Crossref]

2017 (8)

X. Ni, L. Wang, J. Zhu, X. Chen, and W. Lu, “Surface plasmons in a nanostructured black phosphorus flake,” Opt. Lett. 42(13), 2659–2662 (2017).
[Crossref]

H. Lu, Y. Gong, D. Mao, X. Gan, and J. Zhao, “Strong plasmonic confinement and optical force in phosphorene pairs,” Opt. Express 25(5), 5255–5263 (2017).
[Crossref]

C. Fang, Y. Liu, G. Han, Y. Shao, Y. Huang, and Y. Hao, “Porous Structures for Absorption Enhancement in Black Phosphorus Active Layer Based on Plasmonic Nanocavity,” IEEE Photonics J. 9(6), 4800210 (2017).

C. Chen, N. Youngblood, R. Peng, D. Yoo, D. A. Mohr, and M. Li, “Three-Dimensional Integration of Black Phosphorus Photodetector with Silicon Photonics and Nanoplasmonics,” Nano Lett. 17(2), 985–991 (2017).
[Crossref]

R. Peng, K. Khaliji, N. Youngblood, R. Grassi, T. Low, and M. Li, “Mid-infrared Electro-Optic Modulation in Few-layer Black Phosphorus,” Nano Lett. 17(10), 6315–6320 (2017).
[Crossref]

F. Xiong, J. Zhang, Z. Zhu, X. Yuan, and S. Qin, “Strong anisotropic perfect absorption in monolayer black phosphorous and its application as tunable polarizer,” J. Opt. 19(7), 075002 (2017).
[Crossref]

J. Wang and Y. Jiang, “Infrared absorber based on sandwiched two-dimensional black phosphorus,” Opt. Express 25(5), 5206–5216 (2017).
[Crossref]

D. A. Prishchenko, V. G. Mazurenko, M. I. Katsnelson, and A. N. Rudenko, “Coulomb interactions and screening effects in few-layer black phosphorus: a tight-binding consideration beyond the long-wavelength limit,” 2D Mater. 4(2), 025064 (2017).
[Crossref]

2016 (8)

A. Nemilentsau, T. Low, and G. W. Hanson, “Anisotropic 2D Materials for Tunable Hyperbolic Plasmonics,” Phys. Rev. Lett. 116(6), 066804 (2016).
[Crossref]

Z. Liu and K. Aydin, “Localized surface plasmons in nanostructured monolayer black phosphorus,” Nano Lett. 16(6), 3457–3462 (2016).
[Crossref]

D. C. Serrano, J. S. Gomez-Diaz, A. A. Melcon, and A. Alù, “Black phosphorus plasmonics: anisotropic elliptical propagation and nonlocality-induced canalization,” J. Opt. 18(10), 104006 (2016).
[Crossref]

N. Mao, J. Tang, L. Xie, J. Wu, B. Han, and J. Zhang, “Optical Anisotropy of Black Phosphorus in the Visible Regime,” J. Am. Chem. Soc. 138(1), 300–305 (2016).
[Crossref]

X. Ling, S. Huang, E. H. Hasdeo, L. Liang, and M. S. Dresselhaus, “Anisotropic Electron-Photon and Electron-Phonon Interactions in Black Phosphorus,” Nano Lett. 16(4), 2260–2267 (2016).
[Crossref]

X. Wang and S. Lan, “Optical properties of black phosphorus,” Adv. Opt. Photonics 8(4), 618–655 (2016).
[Crossref]

Z. Bao, H. Wu, and Y. Zhou, “Edge plasmons in monolayer black phosphorus,” Appl. Phys. Lett. 109(24), 241902 (2016).
[Crossref]

W. Tang, L. Wang, X. Chen, C. Liu, A. Yu, and W. Lu, “Dynamic metamaterial based on the graphene split ring high-Q Fano-resonnator for sensing applications,” Nanoscale 8(33), 15196–15204 (2016).
[Crossref]

2015 (3)

S. Ke, B. Wang, H. Huang, H. Long, K. Wang, and P. Lu, “Plasmonic absorption enhancement in periodic cross-shaped graphene arrays,” Opt. Express 23(7), 8888–8900 (2015).
[Crossref]

K. Lam and J. Guo, “Plasmonics in strained monolayer black phosphorus,” J. Appl. Phys. 117(11), 113105 (2015).
[Crossref]

N. Youngblood, C. Chen, S. J. Koester, and M. Li, “Waveguide-integrated black phosphorus photodetector with high responsitivity and low dark current,” Nat. Photonics 9(4), 247–252 (2015).
[Crossref]

2014 (12)

J. Qiao, X. Kong, Z. Hu, F. Yang, and W. Ji, “High-mobility transport anisotropy and linear dichroism in few-layer black phosphorus,” Nat. Commun. 5(1), 4475 (2014).
[Crossref]

T. Low, R. Roldán, H. Wang, F. Xia, P. Avouris, L. M. Moreno, and F. Guinea, “Plasmons and screening in monolayer and multilayer black phosphorus,” Phys. Rev. Lett. 113(10), 106802 (2014).
[Crossref]

J. R. Piper and S. Fan, “Total Absorption in a Graphene Monolayer in the Optical Regime by Critical Coupling with a Photonic Crystal Guided Resonance,” ACS Photonics 1(4), 347–353 (2014).
[Crossref]

Y. C. Du, H. Liu, Y. X. Deng, and P. D. Ye, “Device Perspective for Black Phosphorus Field-Effect Transistors Contact Resistance, Ambipolar and Scaling,” ACS Nano 8(10), 10035–10042 (2014).
[Crossref]

F. Xia, H. Wang, D. Xiao, M. Dubey, and A. Ramasubramaniam, “Two-dimensional material nanophotonics,” Nat. Photonics 8(12), 899–907 (2014).
[Crossref]

F. H. Koppens, T. Mueller, P. Avouris, A. Ferrari, M. Vitiello, and M. Polini, “Photodetectors based on graphene, other two-dimensional materials and hybrid systems,” Nat. Nanotechnol. 9(10), 780–793 (2014).
[Crossref]

Z. Fang, Y. Wang, A. E. Schlather, Z. Liu, P. M. Ajayan, F. J. García de Abajo, P. Nordlander, X. Zhu, and N. J. Halas, “Active Tunable Absorption Enhancement with Graphene Nanodisk Arrays,” Nano Lett. 14(1), 299–304 (2014).
[Crossref]

H. Wang, X. Wang, F. Xia, L. Wang, H. Jiang, Q. Xia, M. L. Chin, M. Dubey, and S. J. Han, “Black phosphorus radio-frequency transistors,” Nano Lett. 14(11), 6424–6429 (2014).
[Crossref]

M. Buscema, D. J. Groenendijk, S. I. Blanter, G. A. Steele, H. S. J. van der Zant, and A. Castellanos-Gomez, “Fast and broadband photoresponse of few-layer black phosphorus field-effect transistors,” Nano Lett. 14(6), 3347–3352 (2014).
[Crossref]

Y. Deng, Z. Luo, N. J. Conrad, H. Liu, Y. Gong, S. Najmaei, P. M. Ajayan, J. Lou, X. Xu, and P. D. Ye, “Black phosphorus-monolayer MoS2 van der Waals heterojunction p-n diode,” ACS Nano 8(8), 8292–8299 (2014).
[Crossref]

M. Buscema, D. J. Groenendijk, G. A. Steele, H. S. van der Zant, and A. Castellanos Gomez, “Photovoltaic effect in few-layer black phosphorus PN junctions defined by local electrostatic gating,” Nat. Commun. 5(1), 4651 (2014).
[Crossref]

M. Engel, M. Steiner, and P. Avouris, “Black phosphorus photodetector for multispectral, high-resolution imaging,” Nano Lett. 14(11), 6414–6417 (2014).
[Crossref]

2013 (3)

S. Z. Butler, S. M. Hollen, L. Cao, Y. Cui, J. A. Gupta, H. R. Gutiérrez, T. F. Heinz, S. S. Hong, J. Huang, A. F. Ismach, E. Johnston-Halperin, M. Kuno, V. V. Plashnitsa, R. D. Robinson, R. S. Ruoff, S. Salahuddin, J. Shan, L. Shi, M. G. Spencer, M. Terrones, W. Windl, and J. E. Goldberger, “Progress, Challenges, and Opportunities in Two-Dimensional Materials Beyond Graphene,” ACS Nano 7(4), 2898–2926 (2013).
[Crossref]

S. Sekwao and J. P. Leburton, “Electrical tunability of soft parametric resonance by hot electrons in graphene,” Appl. Phys. 103(14), 143108 (2013).
[Crossref]

X. M. Wang, Z. Z. Cheng, K. Xu, H. K. Tsang, and J. B. Xu, “High Responsitivity Graphene/Silicon Heterostructure Waveguide Photodetectors,” Nat. Photonics 7(11), 888–891 (2013).
[Crossref]

2012 (5)

Q. H. Wang, K. Kalantar-Zadeh, A. Kis, J. N. Coleman, and M. S. Strano, “Electronics and optoelectronics of two-dimensional transition metal dichalcogenides,” Nat. Nanotechnol. 7(11), 699–712 (2012).
[Crossref]

J. Christensen, A. Manjavacas, S. Thongrattanasiri, Frank H. L. Koppens, and F. J. García de Abajo, “Graphene Plasmon Waveguiding and Hybridization in Individual and Paired Nanoribbons,” ACS Nano 6(1), 431–440 (2012).
[Crossref]

A. Yu Nikitin, F. Guinea, F. J. Garcia-Vidal, and L. Martin-Moreno, “Surface plasmon enhanced absorption and suppressed transmission in periodic arrays of graphene ribbons,” Phys. Rev. B 85(8), 081405 (2012).
[Crossref]

H. Yan, X. Li, B. Chandra, G. Tulevski, and F. Xia, “Tunable infrared plasmonic devices using graphene insulator stacks,” Nat. Nanotechnol. 7(5), 330–334 (2012).
[Crossref]

C. J. Badioli, M. Alonso-González, P. Thongrattanasiri, S. Huth, F. Osmond, and F. H. L. Koppens, “Optical Nano-Imaging of GateTunable Graphene Plasmons,” Nature 487(7405), 77–81 (2012).
[Crossref]

2011 (2)

S. C. H. Lui, Z. Q. Li, K. F. Mak, E. Cappelluti, and T. F. Heinz, “Observation of an electrically tunable band gap in trilayer graphene,” Nat. Phys. 7(12), 944–947 (2011).
[Crossref]

Y. Liu, R. Cheng, L. Liao, H. L. Zhou, J. W. Bai, G. Liu, L. X. Liu, Y. Huang, and X. F. Duan, “Plasmon resonance enhanced multicolour photodetection by graphene,” Nat. Commun. 2(1), 579 (2011).
[Crossref]

2010 (3)

F. Xia, D. B. Farmer, Y. Lin, and P. Avouris, “Graphene field-effect transistors with high on/off current ratio and large transport band gap at room temperature,” Nano Lett. 10(2), 715–718 (2010).
[Crossref]

Y. Du, C. Ouyang, S. Shi, and M. Lei, “Ab initio studies on atomic and electronic structures of black phosphorus,” J. Appl. Phys. 107(9), 093718 (2010).
[Crossref]

Ø Prytz and E. Flage-Larsen, “The influence of exact exchange corrections in vander Waals layered narrow bandgap black phosphorus,” J. Phys.: Condens. Matter 22(1), 015502 (2010).
[Crossref]

2009 (1)

F. OuYang, J. Xiao, R. Guo, H. Zhang, and H. Xu, “Transport properties of T-shaped and crossed junctions based on graphene nanoribbons,” Nanotechnology 20(5), 055202 (2009).
[Crossref]

2008 (1)

T. H. Isaac, J. Gómez Rivas, J. R. Sambles, W. L. Barnes, and E. Hendry, “Surface plasmon mediated transmission of subwavelength slits at THz frequencies,” Phys. Rev. B 77(11), 113411 (2008).
[Crossref]

2007 (1)

T. V. Teperik, V. V. Popov, and F. J. García de Abajo, “Total light absorption in plasmonic nanostructures,” J. Opt. A: Pure Appl. Opt. 9(9), S458–S462 (2007).
[Crossref]

2005 (1)

J. G. Rivas, C. Janke, P. H. Bolivar, and H. Kurz, “Transmission of THz radiation through InSb gratings of subwavelength Apertures,” Opt. Express 13(3), 847–859 (2005).
[Crossref]

2003 (4)

F. J. García-Vidal, H. J. Lezec, T. W. Ebbesen, and L. Martín-Moreno, “Multiple Paths to Enhance Optical Transmission through a Single Subwavelength Slit,” Phys. Rev. Lett. 90(21), 213901 (2003).
[Crossref]

S. Fan and W. Suh, “Temporal coupled-mode theory for the Fano resonance in optical resonators,” J. Opt. Soc. Am. A 20(3), 569–572 (2003).
[Crossref]

A. Melloni, F. Morichetti, and M. Martinelli, “Optical slow wave structures,” Opt. Photonics News 14(11), 44–48 (2003).
[Crossref]

F. J. Garciavidal, L. Martinmoreno, H. J. Lezec, and T. W. Ebbesen, “Focusing light with a single subwavelength aperture flanked by surface corrugations,” Appl. Phys. Lett. 83(22), 4500–4502 (2003).
[Crossref]

2002 (2)

H. J. Lezec, A. Degiron, E. Devaux, R. A. Linke, L. Martinmoreno, F. J. Garciavidal, and T. W. Ebbesen, “Beaming Light from a Subwavelength Aperture,” Science 297(5582), 820–822 (2002).
[Crossref]

S. Collin, F. Pardo, R. Teissier, and J. L. Pelouard, “Horizontal and vertical surface resonances in transmission metallic gratings,” J. Opt. A: Pure Appl. Opt. 4(5), S154–S160 (2002).
[Crossref]

2001 (1)

T. Thio, K. M. Pellerin, and R. A. Linke, “Enhanced light transmission through a single subwavelength aperture,” Opt. Lett. 26(24), 1972–1974 (2001).
[Crossref]

1983 (1)

S. Narita, Y. Akaham, Y. Tsukiyama, K. Muro, S. Mori, S. Endo, M. Taniguchi, M. Seki, S. Suga, A. Mikuni, and H. Kanzaki, “Electrical and optical properties of black phosphorus single crystals,” Physica 117-118, 422–424 (1983).
[Crossref]

1981 (1)

Y. Maruyama, S. Suzuki, K. Kobayashi, and S. Tanuma, “Synthesis and some properties of black phosphorus single crystals,” Physica 105(1-3), 99–102 (1981).
[Crossref]

Ajayan, P. M.

Akaham, Y.

Alonso-González, M.

Alù, A.

Avouris, P.

M. Engel, M. Steiner, and P. Avouris, “Black phosphorus photodetector for multispectral, high-resolution imaging,” Nano Lett. 14(11), 6414–6417 (2014).
[Crossref]

Aydin, K.

Z. Liu and K. Aydin, “Localized surface plasmons in nanostructured monolayer black phosphorus,” Nano Lett. 16(6), 3457–3462 (2016).
[Crossref]

Badioli, C. J.

Bai, J. W.

Bao, Z.

Z. Bao, H. Wu, and Y. Zhou, “Edge plasmons in monolayer black phosphorus,” Appl. Phys. Lett. 109(24), 241902 (2016).
[Crossref]

Barnes, W. L.

Blanter, S. I.

Bolivar, P. H.

J. G. Rivas, C. Janke, P. H. Bolivar, and H. Kurz, “Transmission of THz radiation through InSb gratings of subwavelength Apertures,” Opt. Express 13(3), 847–859 (2005).
[Crossref]

Buscema, M.

Butler, S. Z.

Cao, L.

Cappelluti, E.

S. C. H. Lui, Z. Q. Li, K. F. Mak, E. Cappelluti, and T. F. Heinz, “Observation of an electrically tunable band gap in trilayer graphene,” Nat. Phys. 7(12), 944–947 (2011).
[Crossref]

Castellanos Gomez, A.

Castellanos-Gomez, A.

Chandra, B.

H. Yan, X. Li, B. Chandra, G. Tulevski, and F. Xia, “Tunable infrared plasmonic devices using graphene insulator stacks,” Nat. Nanotechnol. 7(5), 330–334 (2012).
[Crossref]

Chen, C.

Chen, X.

X. Ni, L. Wang, J. Zhu, X. Chen, and W. Lu, “Surface plasmons in a nanostructured black phosphorus flake,” Opt. Lett. 42(13), 2659–2662 (2017).
[Crossref]

Cheng, R.

Cheng, Z. Z.

X. M. Wang, Z. Z. Cheng, K. Xu, H. K. Tsang, and J. B. Xu, “High Responsitivity Graphene/Silicon Heterostructure Waveguide Photodetectors,” Nat. Photonics 7(11), 888–891 (2013).
[Crossref]

Chin, M. L.

H. Wang, X. Wang, F. Xia, L. Wang, H. Jiang, Q. Xia, M. L. Chin, M. Dubey, and S. J. Han, “Black phosphorus radio-frequency transistors,” Nano Lett. 14(11), 6424–6429 (2014).
[Crossref]

Christensen, J.

Coleman, J. N.

Collin, S.

Conrad, N. J.

Cui, Y.

Degiron, A.

Deng, Y.

Deng, Y. X.

Devaux, E.

Dresselhaus, M. S.

Du, Y.

Y. Du, C. Ouyang, S. Shi, and M. Lei, “Ab initio studies on atomic and electronic structures of black phosphorus,” J. Appl. Phys. 107(9), 093718 (2010).
[Crossref]

Du, Y. C.

Duan, X. F.

Dubey, M.

F. Xia, H. Wang, D. Xiao, M. Dubey, and A. Ramasubramaniam, “Two-dimensional material nanophotonics,” Nat. Photonics 8(12), 899–907 (2014).
[Crossref]

H. Wang, X. Wang, F. Xia, L. Wang, H. Jiang, Q. Xia, M. L. Chin, M. Dubey, and S. J. Han, “Black phosphorus radio-frequency transistors,” Nano Lett. 14(11), 6424–6429 (2014).
[Crossref]

Ebbesen, T. W.

Endo, S.

Engel, M.

M. Engel, M. Steiner, and P. Avouris, “Black phosphorus photodetector for multispectral, high-resolution imaging,” Nano Lett. 14(11), 6414–6417 (2014).
[Crossref]

Fan, S.

S. Fan and W. Suh, “Temporal coupled-mode theory for the Fano resonance in optical resonators,” J. Opt. Soc. Am. A 20(3), 569–572 (2003).
[Crossref]

Fang, C.

Fang, Z.

Farmer, D. B.

Ferrari, A.

Flage-Larsen, E.

Ø Prytz and E. Flage-Larsen, “The influence of exact exchange corrections in vander Waals layered narrow bandgap black phosphorus,” J. Phys.: Condens. Matter 22(1), 015502 (2010).
[Crossref]

Fo, Q.

Gan, Q.

Gan, X.

H. Lu, Y. Gong, D. Mao, X. Gan, and J. Zhao, “Strong plasmonic confinement and optical force in phosphorene pairs,” Opt. Express 25(5), 5255–5263 (2017).
[Crossref]

Gao, M.

García de Abajo, F. J.

T. V. Teperik, V. V. Popov, and F. J. García de Abajo, “Total light absorption in plasmonic nanostructures,” J. Opt. A: Pure Appl. Opt. 9(9), S458–S462 (2007).
[Crossref]

Garciavidal, F. J.

Garcia-Vidal, F. J.

García-Vidal, F. J.

Goldberger, J. E.

Gómez Rivas, J.

Gomez-Diaz, J. S.

Gong, Y.

H. Lu, Y. Gong, D. Mao, X. Gan, and J. Zhao, “Strong plasmonic confinement and optical force in phosphorene pairs,” Opt. Express 25(5), 5255–5263 (2017).
[Crossref]

Grassi, R.

R. Peng, K. Khaliji, N. Youngblood, R. Grassi, T. Low, and M. Li, “Mid-infrared Electro-Optic Modulation in Few-layer Black Phosphorus,” Nano Lett. 17(10), 6315–6320 (2017).
[Crossref]

Groenendijk, D. J.

Guinea, F.

Guo, J.

K. Lam and J. Guo, “Plasmonics in strained monolayer black phosphorus,” J. Appl. Phys. 117(11), 113105 (2015).
[Crossref]

Guo, R.

F. OuYang, J. Xiao, R. Guo, H. Zhang, and H. Xu, “Transport properties of T-shaped and crossed junctions based on graphene nanoribbons,” Nanotechnology 20(5), 055202 (2009).
[Crossref]

Gupta, J. A.

Gutiérrez, H. R.

Halas, N. J.

Han, B.

N. Mao, J. Tang, L. Xie, J. Wu, B. Han, and J. Zhang, “Optical Anisotropy of Black Phosphorus in the Visible Regime,” J. Am. Chem. Soc. 138(1), 300–305 (2016).
[Crossref]

Han, G.

Han, L.

Han, S. J.

H. Wang, X. Wang, F. Xia, L. Wang, H. Jiang, Q. Xia, M. L. Chin, M. Dubey, and S. J. Han, “Black phosphorus radio-frequency transistors,” Nano Lett. 14(11), 6424–6429 (2014).
[Crossref]

Hanson, G. W.

A. Nemilentsau, T. Low, and G. W. Hanson, “Anisotropic 2D Materials for Tunable Hyperbolic Plasmonics,” Phys. Rev. Lett. 116(6), 066804 (2016).
[Crossref]

Hao, Y.

Hasdeo, E. H.

Heinz, T. F.

S. C. H. Lui, Z. Q. Li, K. F. Mak, E. Cappelluti, and T. F. Heinz, “Observation of an electrically tunable band gap in trilayer graphene,” Nat. Phys. 7(12), 944–947 (2011).
[Crossref]

Hendry, E.

Hollen, S. M.

Hong, S. S.

Hu, Z.

J. Qiao, X. Kong, Z. Hu, F. Yang, and W. Ji, “High-mobility transport anisotropy and linear dichroism in few-layer black phosphorus,” Nat. Commun. 5(1), 4475 (2014).
[Crossref]

Huang, H.

S. Ke, B. Wang, H. Huang, H. Long, K. Wang, and P. Lu, “Plasmonic absorption enhancement in periodic cross-shaped graphene arrays,” Opt. Express 23(7), 8888–8900 (2015).
[Crossref]

Huang, J.

Huang, S.

Huang, Y.

Huth, S.

Isaac, T. H.

Ismach, A. F.

Janke, C.

J. G. Rivas, C. Janke, P. H. Bolivar, and H. Kurz, “Transmission of THz radiation through InSb gratings of subwavelength Apertures,” Opt. Express 13(3), 847–859 (2005).
[Crossref]

Ji, D.

Ji, W.

J. Qiao, X. Kong, Z. Hu, F. Yang, and W. Ji, “High-mobility transport anisotropy and linear dichroism in few-layer black phosphorus,” Nat. Commun. 5(1), 4475 (2014).
[Crossref]

Jiang, H.

H. Wang, X. Wang, F. Xia, L. Wang, H. Jiang, Q. Xia, M. L. Chin, M. Dubey, and S. J. Han, “Black phosphorus radio-frequency transistors,” Nano Lett. 14(11), 6424–6429 (2014).
[Crossref]

Jiang, Y.

J. Wang and Y. Jiang, “Infrared absorber based on sandwiched two-dimensional black phosphorus,” Opt. Express 25(5), 5206–5216 (2017).
[Crossref]

Johnston-Halperin, E.

Kalantar-Zadeh, K.

Kanzaki, H.

Katsnelson, M. I.

Ke, S.

S. Ke, B. Wang, H. Huang, H. Long, K. Wang, and P. Lu, “Plasmonic absorption enhancement in periodic cross-shaped graphene arrays,” Opt. Express 23(7), 8888–8900 (2015).
[Crossref]

Khaliji, K.

R. Peng, K. Khaliji, N. Youngblood, R. Grassi, T. Low, and M. Li, “Mid-infrared Electro-Optic Modulation in Few-layer Black Phosphorus,” Nano Lett. 17(10), 6315–6320 (2017).
[Crossref]

Kis, A.

Kobayashi, K.

Y. Maruyama, S. Suzuki, K. Kobayashi, and S. Tanuma, “Synthesis and some properties of black phosphorus single crystals,” Physica 105(1-3), 99–102 (1981).
[Crossref]

Koester, S. J.

Kong, X.

J. Qiao, X. Kong, Z. Hu, F. Yang, and W. Ji, “High-mobility transport anisotropy and linear dichroism in few-layer black phosphorus,” Nat. Commun. 5(1), 4475 (2014).
[Crossref]

Koppens, F. H.

Koppens, F. H. L.

Koppens, Frank H. L.

Kuno, M.

Kurz, H.

J. G. Rivas, C. Janke, P. H. Bolivar, and H. Kurz, “Transmission of THz radiation through InSb gratings of subwavelength Apertures,” Opt. Express 13(3), 847–859 (2005).
[Crossref]

Lam, K.

K. Lam and J. Guo, “Plasmonics in strained monolayer black phosphorus,” J. Appl. Phys. 117(11), 113105 (2015).
[Crossref]

Lan, G.

Lan, S.

X. Wang and S. Lan, “Optical properties of black phosphorus,” Adv. Opt. Photonics 8(4), 618–655 (2016).
[Crossref]

Leburton, J. P.

S. Sekwao and J. P. Leburton, “Electrical tunability of soft parametric resonance by hot electrons in graphene,” Appl. Phys. 103(14), 143108 (2013).
[Crossref]

Lei, M.

Y. Du, C. Ouyang, S. Shi, and M. Lei, “Ab initio studies on atomic and electronic structures of black phosphorus,” J. Appl. Phys. 107(9), 093718 (2010).
[Crossref]

Lezec, H. J.

Li, M.

R. Peng, K. Khaliji, N. Youngblood, R. Grassi, T. Low, and M. Li, “Mid-infrared Electro-Optic Modulation in Few-layer Black Phosphorus,” Nano Lett. 17(10), 6315–6320 (2017).
[Crossref]

Li, X.

H. Yan, X. Li, B. Chandra, G. Tulevski, and F. Xia, “Tunable infrared plasmonic devices using graphene insulator stacks,” Nat. Nanotechnol. 7(5), 330–334 (2012).
[Crossref]

Li, Z. Q.

S. C. H. Lui, Z. Q. Li, K. F. Mak, E. Cappelluti, and T. F. Heinz, “Observation of an electrically tunable band gap in trilayer graphene,” Nat. Phys. 7(12), 944–947 (2011).
[Crossref]

Liang, L.

Liao, L.

Lin, Y.

Ling, X.

Linke, R. A.

T. Thio, K. M. Pellerin, and R. A. Linke, “Enhanced light transmission through a single subwavelength aperture,” Opt. Lett. 26(24), 1972–1974 (2001).
[Crossref]

Liu, C.

Liu, G.

Liu, H.

Liu, L. X.

Liu, X.

Liu, Y.

Liu, Z.

Z. Liu and K. Aydin, “Localized surface plasmons in nanostructured monolayer black phosphorus,” Nano Lett. 16(6), 3457–3462 (2016).
[Crossref]

Long, H.

S. Ke, B. Wang, H. Huang, H. Long, K. Wang, and P. Lu, “Plasmonic absorption enhancement in periodic cross-shaped graphene arrays,” Opt. Express 23(7), 8888–8900 (2015).
[Crossref]

Lou, J.

Low, T.

R. Peng, K. Khaliji, N. Youngblood, R. Grassi, T. Low, and M. Li, “Mid-infrared Electro-Optic Modulation in Few-layer Black Phosphorus,” Nano Lett. 17(10), 6315–6320 (2017).
[Crossref]

A. Nemilentsau, T. Low, and G. W. Hanson, “Anisotropic 2D Materials for Tunable Hyperbolic Plasmonics,” Phys. Rev. Lett. 116(6), 066804 (2016).
[Crossref]

Lui, S. C. H.

S. C. H. Lui, Z. Q. Li, K. F. Mak, E. Cappelluti, and T. F. Heinz, “Observation of an electrically tunable band gap in trilayer graphene,” Nat. Phys. 7(12), 944–947 (2011).
[Crossref]

Luo, Z.

Mak, K. F.

S. C. H. Lui, Z. Q. Li, K. F. Mak, E. Cappelluti, and T. F. Heinz, “Observation of an electrically tunable band gap in trilayer graphene,” Nat. Phys. 7(12), 944–947 (2011).
[Crossref]

Manjavacas, A.

Mao, D.

H. Lu, Y. Gong, D. Mao, X. Gan, and J. Zhao, “Strong plasmonic confinement and optical force in phosphorene pairs,” Opt. Express 25(5), 5255–5263 (2017).
[Crossref]

Mao, N.

N. Mao, J. Tang, L. Xie, J. Wu, B. Han, and J. Zhang, “Optical Anisotropy of Black Phosphorus in the Visible Regime,” J. Am. Chem. Soc. 138(1), 300–305 (2016).
[Crossref]

Martinelli, M.

A. Melloni, F. Morichetti, and M. Martinelli, “Optical slow wave structures,” Opt. Photonics News 14(11), 44–48 (2003).
[Crossref]

Martinmoreno, L.

Martin-Moreno, L.

Martín-Moreno, L.

Maruyama, Y.

Y. Maruyama, S. Suzuki, K. Kobayashi, and S. Tanuma, “Synthesis and some properties of black phosphorus single crystals,” Physica 105(1-3), 99–102 (1981).
[Crossref]

Mazurenko, V. G.

Melcon, A. A.

Melloni, A.

A. Melloni, F. Morichetti, and M. Martinelli, “Optical slow wave structures,” Opt. Photonics News 14(11), 44–48 (2003).
[Crossref]

Mikuni, A.

Mohr, D. A.

Moreno, L. M.

Mori, S.

Morichetti, F.

A. Melloni, F. Morichetti, and M. Martinelli, “Optical slow wave structures,” Opt. Photonics News 14(11), 44–48 (2003).
[Crossref]

Mueller, T.

Muro, K.

Najmaei, S.

Narita, S.

Nemilentsau, A.

A. Nemilentsau, T. Low, and G. W. Hanson, “Anisotropic 2D Materials for Tunable Hyperbolic Plasmonics,” Phys. Rev. Lett. 116(6), 066804 (2016).
[Crossref]

Ni, X.

X. Ni, L. Wang, J. Zhu, X. Chen, and W. Lu, “Surface plasmons in a nanostructured black phosphorus flake,” Opt. Lett. 42(13), 2659–2662 (2017).
[Crossref]

Nong, J.

Nordlander, P.

Osmond, F.

Ouyang, C.

Y. Du, C. Ouyang, S. Shi, and M. Lei, “Ab initio studies on atomic and electronic structures of black phosphorus,” J. Appl. Phys. 107(9), 093718 (2010).
[Crossref]

OuYang, F.

F. OuYang, J. Xiao, R. Guo, H. Zhang, and H. Xu, “Transport properties of T-shaped and crossed junctions based on graphene nanoribbons,” Nanotechnology 20(5), 055202 (2009).
[Crossref]

Pan, L.

Pardo, F.

Pellerin, K. M.

T. Thio, K. M. Pellerin, and R. A. Linke, “Enhanced light transmission through a single subwavelength aperture,” Opt. Lett. 26(24), 1972–1974 (2001).
[Crossref]

Pelouard, J. L.

Peng, R.

R. Peng, K. Khaliji, N. Youngblood, R. Grassi, T. Low, and M. Li, “Mid-infrared Electro-Optic Modulation in Few-layer Black Phosphorus,” Nano Lett. 17(10), 6315–6320 (2017).
[Crossref]

Piper, J. R.

Plashnitsa, V. V.

Polini, M.

Popov, V. V.

T. V. Teperik, V. V. Popov, and F. J. García de Abajo, “Total light absorption in plasmonic nanostructures,” J. Opt. A: Pure Appl. Opt. 9(9), S458–S462 (2007).
[Crossref]

Prishchenko, D. A.

Prytz, Ø

Ø Prytz and E. Flage-Larsen, “The influence of exact exchange corrections in vander Waals layered narrow bandgap black phosphorus,” J. Phys.: Condens. Matter 22(1), 015502 (2010).
[Crossref]

Qiao, J.

J. Qiao, X. Kong, Z. Hu, F. Yang, and W. Ji, “High-mobility transport anisotropy and linear dichroism in few-layer black phosphorus,” Nat. Commun. 5(1), 4475 (2014).
[Crossref]

Qin, S.

Ramasubramaniam, A.

F. Xia, H. Wang, D. Xiao, M. Dubey, and A. Ramasubramaniam, “Two-dimensional material nanophotonics,” Nat. Photonics 8(12), 899–907 (2014).
[Crossref]

Rivas, J. G.

J. G. Rivas, C. Janke, P. H. Bolivar, and H. Kurz, “Transmission of THz radiation through InSb gratings of subwavelength Apertures,” Opt. Express 13(3), 847–859 (2005).
[Crossref]

Robinson, R. D.

Roldán, R.

Rudenko, A. N.

Ruoff, R. S.

Salahuddin, S.

Sambles, J. R.

Schlather, A. E.

Seki, M.

Sekwao, S.

S. Sekwao and J. P. Leburton, “Electrical tunability of soft parametric resonance by hot electrons in graphene,” Appl. Phys. 103(14), 143108 (2013).
[Crossref]

Serrano, D. C.

Shan, J.

Shang, Z.

Shao, Y.

Shi, L.

Shi, S.

Y. Du, C. Ouyang, S. Shi, and M. Lei, “Ab initio studies on atomic and electronic structures of black phosphorus,” J. Appl. Phys. 107(9), 093718 (2010).
[Crossref]

Song, H.

Spencer, M. G.

Steele, G. A.

Steiner, M.

M. Engel, M. Steiner, and P. Avouris, “Black phosphorus photodetector for multispectral, high-resolution imaging,” Nano Lett. 14(11), 6414–6417 (2014).
[Crossref]

Strano, M. S.

Suga, S.

Suh, W.

S. Fan and W. Suh, “Temporal coupled-mode theory for the Fano resonance in optical resonators,” J. Opt. Soc. Am. A 20(3), 569–572 (2003).
[Crossref]

Suzuki, S.

Y. Maruyama, S. Suzuki, K. Kobayashi, and S. Tanuma, “Synthesis and some properties of black phosphorus single crystals,” Physica 105(1-3), 99–102 (1981).
[Crossref]

Tang, J.

N. Mao, J. Tang, L. Xie, J. Wu, B. Han, and J. Zhang, “Optical Anisotropy of Black Phosphorus in the Visible Regime,” J. Am. Chem. Soc. 138(1), 300–305 (2016).
[Crossref]

Tang, L.

Tang, W.

Taniguchi, M.

Tanuma, S.

Y. Maruyama, S. Suzuki, K. Kobayashi, and S. Tanuma, “Synthesis and some properties of black phosphorus single crystals,” Physica 105(1-3), 99–102 (1981).
[Crossref]

Teissier, R.

Teperik, T. V.

T. V. Teperik, V. V. Popov, and F. J. García de Abajo, “Total light absorption in plasmonic nanostructures,” J. Opt. A: Pure Appl. Opt. 9(9), S458–S462 (2007).
[Crossref]

Terrones, M.

Thio, T.

T. Thio, K. M. Pellerin, and R. A. Linke, “Enhanced light transmission through a single subwavelength aperture,” Opt. Lett. 26(24), 1972–1974 (2001).
[Crossref]

Thongrattanasiri, P.

Thongrattanasiri, S.

Tsang, H. K.

X. M. Wang, Z. Z. Cheng, K. Xu, H. K. Tsang, and J. B. Xu, “High Responsitivity Graphene/Silicon Heterostructure Waveguide Photodetectors,” Nat. Photonics 7(11), 888–891 (2013).
[Crossref]

Tsukiyama, Y.

Tulevski, G.

H. Yan, X. Li, B. Chandra, G. Tulevski, and F. Xia, “Tunable infrared plasmonic devices using graphene insulator stacks,” Nat. Nanotechnol. 7(5), 330–334 (2012).
[Crossref]

van der Zant, H. S.

van der Zant, H. S. J.

Vitiello, M.

Wang, B.

S. Ke, B. Wang, H. Huang, H. Long, K. Wang, and P. Lu, “Plasmonic absorption enhancement in periodic cross-shaped graphene arrays,” Opt. Express 23(7), 8888–8900 (2015).
[Crossref]

Wang, H.

F. Xia, H. Wang, D. Xiao, M. Dubey, and A. Ramasubramaniam, “Two-dimensional material nanophotonics,” Nat. Photonics 8(12), 899–907 (2014).
[Crossref]

H. Wang, X. Wang, F. Xia, L. Wang, H. Jiang, Q. Xia, M. L. Chin, M. Dubey, and S. J. Han, “Black phosphorus radio-frequency transistors,” Nano Lett. 14(11), 6424–6429 (2014).
[Crossref]

Wang, J.

J. Wang and Y. Jiang, “Infrared absorber based on sandwiched two-dimensional black phosphorus,” Opt. Express 25(5), 5206–5216 (2017).
[Crossref]

Wang, K.

S. Ke, B. Wang, H. Huang, H. Long, K. Wang, and P. Lu, “Plasmonic absorption enhancement in periodic cross-shaped graphene arrays,” Opt. Express 23(7), 8888–8900 (2015).
[Crossref]

Wang, L.

X. Ni, L. Wang, J. Zhu, X. Chen, and W. Lu, “Surface plasmons in a nanostructured black phosphorus flake,” Opt. Lett. 42(13), 2659–2662 (2017).
[Crossref]

H. Wang, X. Wang, F. Xia, L. Wang, H. Jiang, Q. Xia, M. L. Chin, M. Dubey, and S. J. Han, “Black phosphorus radio-frequency transistors,” Nano Lett. 14(11), 6424–6429 (2014).
[Crossref]

Wang, Q. H.

Wang, W.

Wang, X.

X. Wang and S. Lan, “Optical properties of black phosphorus,” Adv. Opt. Photonics 8(4), 618–655 (2016).
[Crossref]

H. Wang, X. Wang, F. Xia, L. Wang, H. Jiang, Q. Xia, M. L. Chin, M. Dubey, and S. J. Han, “Black phosphorus radio-frequency transistors,” Nano Lett. 14(11), 6424–6429 (2014).
[Crossref]

Wang, X. M.

X. M. Wang, Z. Z. Cheng, K. Xu, H. K. Tsang, and J. B. Xu, “High Responsitivity Graphene/Silicon Heterostructure Waveguide Photodetectors,” Nat. Photonics 7(11), 888–891 (2013).
[Crossref]

Wang, Y.

Wei, W.

Windl, W.

Wu, H.

Z. Bao, H. Wu, and Y. Zhou, “Edge plasmons in monolayer black phosphorus,” Appl. Phys. Lett. 109(24), 241902 (2016).
[Crossref]

Wu, J.

N. Mao, J. Tang, L. Xie, J. Wu, B. Han, and J. Zhang, “Optical Anisotropy of Black Phosphorus in the Visible Regime,” J. Am. Chem. Soc. 138(1), 300–305 (2016).
[Crossref]

Xia, F.

F. Xia, H. Wang, D. Xiao, M. Dubey, and A. Ramasubramaniam, “Two-dimensional material nanophotonics,” Nat. Photonics 8(12), 899–907 (2014).
[Crossref]

H. Wang, X. Wang, F. Xia, L. Wang, H. Jiang, Q. Xia, M. L. Chin, M. Dubey, and S. J. Han, “Black phosphorus radio-frequency transistors,” Nano Lett. 14(11), 6424–6429 (2014).
[Crossref]

H. Yan, X. Li, B. Chandra, G. Tulevski, and F. Xia, “Tunable infrared plasmonic devices using graphene insulator stacks,” Nat. Nanotechnol. 7(5), 330–334 (2012).
[Crossref]

Xia, Q.

H. Wang, X. Wang, F. Xia, L. Wang, H. Jiang, Q. Xia, M. L. Chin, M. Dubey, and S. J. Han, “Black phosphorus radio-frequency transistors,” Nano Lett. 14(11), 6424–6429 (2014).
[Crossref]

Xiao, D.

F. Xia, H. Wang, D. Xiao, M. Dubey, and A. Ramasubramaniam, “Two-dimensional material nanophotonics,” Nat. Photonics 8(12), 899–907 (2014).
[Crossref]

Xiao, J.

F. OuYang, J. Xiao, R. Guo, H. Zhang, and H. Xu, “Transport properties of T-shaped and crossed junctions based on graphene nanoribbons,” Nanotechnology 20(5), 055202 (2009).
[Crossref]

Xie, L.

N. Mao, J. Tang, L. Xie, J. Wu, B. Han, and J. Zhang, “Optical Anisotropy of Black Phosphorus in the Visible Regime,” J. Am. Chem. Soc. 138(1), 300–305 (2016).
[Crossref]

Xing, H.

Xiong, F.

Xu, H.

F. OuYang, J. Xiao, R. Guo, H. Zhang, and H. Xu, “Transport properties of T-shaped and crossed junctions based on graphene nanoribbons,” Nanotechnology 20(5), 055202 (2009).
[Crossref]

Xu, J. B.

X. M. Wang, Z. Z. Cheng, K. Xu, H. K. Tsang, and J. B. Xu, “High Responsitivity Graphene/Silicon Heterostructure Waveguide Photodetectors,” Nat. Photonics 7(11), 888–891 (2013).
[Crossref]

Xu, K.

X. M. Wang, Z. Z. Cheng, K. Xu, H. K. Tsang, and J. B. Xu, “High Responsitivity Graphene/Silicon Heterostructure Waveguide Photodetectors,” Nat. Photonics 7(11), 888–891 (2013).
[Crossref]

Xu, Q.

Xu, X.

Yan, H.

H. Yan, X. Li, B. Chandra, G. Tulevski, and F. Xia, “Tunable infrared plasmonic devices using graphene insulator stacks,” Nat. Nanotechnol. 7(5), 330–334 (2012).
[Crossref]

Yang, F.

J. Qiao, X. Kong, Z. Hu, F. Yang, and W. Ji, “High-mobility transport anisotropy and linear dichroism in few-layer black phosphorus,” Nat. Commun. 5(1), 4475 (2014).
[Crossref]

Ye, P. D.

Yi, J.

Yoo, D.

Youngblood, N.

R. Peng, K. Khaliji, N. Youngblood, R. Grassi, T. Low, and M. Li, “Mid-infrared Electro-Optic Modulation in Few-layer Black Phosphorus,” Nano Lett. 17(10), 6315–6320 (2017).
[Crossref]

Yu, A.

Yu Nikitin, A.

Yuan, X.

Zhang, H.

F. OuYang, J. Xiao, R. Guo, H. Zhang, and H. Xu, “Transport properties of T-shaped and crossed junctions based on graphene nanoribbons,” Nanotechnology 20(5), 055202 (2009).
[Crossref]

Zhang, J.

N. Mao, J. Tang, L. Xie, J. Wu, B. Han, and J. Zhang, “Optical Anisotropy of Black Phosphorus in the Visible Regime,” J. Am. Chem. Soc. 138(1), 300–305 (2016).
[Crossref]

Zhang, N.

Zhang, S.

Zhang, W.

Zhao, J.

H. Lu, Y. Gong, D. Mao, X. Gan, and J. Zhao, “Strong plasmonic confinement and optical force in phosphorene pairs,” Opt. Express 25(5), 5255–5263 (2017).
[Crossref]

Zhou, H. L.

Zhou, Y.

Z. Bao, H. Wu, and Y. Zhou, “Edge plasmons in monolayer black phosphorus,” Appl. Phys. Lett. 109(24), 241902 (2016).
[Crossref]

Zhu, J.

X. Ni, L. Wang, J. Zhu, X. Chen, and W. Lu, “Surface plasmons in a nanostructured black phosphorus flake,” Opt. Lett. 42(13), 2659–2662 (2017).
[Crossref]

Zhu, X.

Zhu, Z.

2D Mater. (1)

ACS Nano (4)

ACS Photonics (2)

Adv. Opt. Photonics (1)

X. Wang and S. Lan, “Optical properties of black phosphorus,” Adv. Opt. Photonics 8(4), 618–655 (2016).
[Crossref]

Appl. Phys. (1)

S. Sekwao and J. P. Leburton, “Electrical tunability of soft parametric resonance by hot electrons in graphene,” Appl. Phys. 103(14), 143108 (2013).
[Crossref]

Appl. Phys. Lett. (2)

Z. Bao, H. Wu, and Y. Zhou, “Edge plasmons in monolayer black phosphorus,” Appl. Phys. Lett. 109(24), 241902 (2016).
[Crossref]

IEEE Photonics J. (2)

J. Am. Chem. Soc. (1)

N. Mao, J. Tang, L. Xie, J. Wu, B. Han, and J. Zhang, “Optical Anisotropy of Black Phosphorus in the Visible Regime,” J. Am. Chem. Soc. 138(1), 300–305 (2016).
[Crossref]

J. Appl. Phys. (2)

K. Lam and J. Guo, “Plasmonics in strained monolayer black phosphorus,” J. Appl. Phys. 117(11), 113105 (2015).
[Crossref]

Y. Du, C. Ouyang, S. Shi, and M. Lei, “Ab initio studies on atomic and electronic structures of black phosphorus,” J. Appl. Phys. 107(9), 093718 (2010).
[Crossref]

J. Opt. (2)

J. Opt. A: Pure Appl. Opt. (2)

T. V. Teperik, V. V. Popov, and F. J. García de Abajo, “Total light absorption in plasmonic nanostructures,” J. Opt. A: Pure Appl. Opt. 9(9), S458–S462 (2007).
[Crossref]

J. Opt. Soc. Am. A (1)

S. Fan and W. Suh, “Temporal coupled-mode theory for the Fano resonance in optical resonators,” J. Opt. Soc. Am. A 20(3), 569–572 (2003).
[Crossref]

J. Phys.: Condens. Matter (1)

Ø Prytz and E. Flage-Larsen, “The influence of exact exchange corrections in vander Waals layered narrow bandgap black phosphorus,” J. Phys.: Condens. Matter 22(1), 015502 (2010).
[Crossref]

Nano Lett. (9)

M. Engel, M. Steiner, and P. Avouris, “Black phosphorus photodetector for multispectral, high-resolution imaging,” Nano Lett. 14(11), 6414–6417 (2014).
[Crossref]

Z. Liu and K. Aydin, “Localized surface plasmons in nanostructured monolayer black phosphorus,” Nano Lett. 16(6), 3457–3462 (2016).
[Crossref]

H. Wang, X. Wang, F. Xia, L. Wang, H. Jiang, Q. Xia, M. L. Chin, M. Dubey, and S. J. Han, “Black phosphorus radio-frequency transistors,” Nano Lett. 14(11), 6424–6429 (2014).
[Crossref]

R. Peng, K. Khaliji, N. Youngblood, R. Grassi, T. Low, and M. Li, “Mid-infrared Electro-Optic Modulation in Few-layer Black Phosphorus,” Nano Lett. 17(10), 6315–6320 (2017).
[Crossref]

Nanoscale (1)

Nanotechnology (1)

F. OuYang, J. Xiao, R. Guo, H. Zhang, and H. Xu, “Transport properties of T-shaped and crossed junctions based on graphene nanoribbons,” Nanotechnology 20(5), 055202 (2009).
[Crossref]

Nat. Commun. (3)

J. Qiao, X. Kong, Z. Hu, F. Yang, and W. Ji, “High-mobility transport anisotropy and linear dichroism in few-layer black phosphorus,” Nat. Commun. 5(1), 4475 (2014).
[Crossref]

Nat. Nanotechnol. (3)

H. Yan, X. Li, B. Chandra, G. Tulevski, and F. Xia, “Tunable infrared plasmonic devices using graphene insulator stacks,” Nat. Nanotechnol. 7(5), 330–334 (2012).
[Crossref]

Nat. Photonics (3)

F. Xia, H. Wang, D. Xiao, M. Dubey, and A. Ramasubramaniam, “Two-dimensional material nanophotonics,” Nat. Photonics 8(12), 899–907 (2014).
[Crossref]

X. M. Wang, Z. Z. Cheng, K. Xu, H. K. Tsang, and J. B. Xu, “High Responsitivity Graphene/Silicon Heterostructure Waveguide Photodetectors,” Nat. Photonics 7(11), 888–891 (2013).
[Crossref]

Nat. Phys. (1)

S. C. H. Lui, Z. Q. Li, K. F. Mak, E. Cappelluti, and T. F. Heinz, “Observation of an electrically tunable band gap in trilayer graphene,” Nat. Phys. 7(12), 944–947 (2011).
[Crossref]

Nature (1)

Opt. Express (5)

J. G. Rivas, C. Janke, P. H. Bolivar, and H. Kurz, “Transmission of THz radiation through InSb gratings of subwavelength Apertures,” Opt. Express 13(3), 847–859 (2005).
[Crossref]

S. Ke, B. Wang, H. Huang, H. Long, K. Wang, and P. Lu, “Plasmonic absorption enhancement in periodic cross-shaped graphene arrays,” Opt. Express 23(7), 8888–8900 (2015).
[Crossref]

J. Wang and Y. Jiang, “Infrared absorber based on sandwiched two-dimensional black phosphorus,” Opt. Express 25(5), 5206–5216 (2017).
[Crossref]

H. Lu, Y. Gong, D. Mao, X. Gan, and J. Zhao, “Strong plasmonic confinement and optical force in phosphorene pairs,” Opt. Express 25(5), 5255–5263 (2017).
[Crossref]

Opt. Lett. (2)

T. Thio, K. M. Pellerin, and R. A. Linke, “Enhanced light transmission through a single subwavelength aperture,” Opt. Lett. 26(24), 1972–1974 (2001).
[Crossref]

X. Ni, L. Wang, J. Zhu, X. Chen, and W. Lu, “Surface plasmons in a nanostructured black phosphorus flake,” Opt. Lett. 42(13), 2659–2662 (2017).
[Crossref]

Opt. Mater. Express (1)

Opt. Photonics News (1)

A. Melloni, F. Morichetti, and M. Martinelli, “Optical slow wave structures,” Opt. Photonics News 14(11), 44–48 (2003).
[Crossref]

Phys. Rev. B (2)

Phys. Rev. Lett. (3)

A. Nemilentsau, T. Low, and G. W. Hanson, “Anisotropic 2D Materials for Tunable Hyperbolic Plasmonics,” Phys. Rev. Lett. 116(6), 066804 (2016).
[Crossref]

Physica (2)

Y. Maruyama, S. Suzuki, K. Kobayashi, and S. Tanuma, “Synthesis and some properties of black phosphorus single crystals,” Physica 105(1-3), 99–102 (1981).
[Crossref]

Science (1)

Small Methods (1)

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.

Click here to see a list of articles that cite this paper

Fig. 1. (a) Schematic diagram of BP crystal structure. (b)The three-dimensional schematic diagram of BP nanostrip array.

Download Full Size | PPT Slide | PDF

Fig. 2. (a) Absorption spectra of the monolayer BP nanostrip array with quartz along x direction, y direction and without quartz at the wavelength of 6-30 µm. The thickness of the quartz between BP and metal mirror is 3 µm. The width of the BP strip is 150 nm and the period is 300 nm. (b) Absorption spectra of the monolayer BP nanostrip along x direction at the wavelength of 6-30 µm. The thickness of the quartz between BP and metal mirror is 3 µm and 6 µm, respectively. The width of the BP strip is 150 nm and the period is 300 nm. Electric field intensity distributions with the fixed thickness of 6 µm (c) and 3 µm (d). Inset is the side view of the proposed structure. The width of the BP strip is 150 nm and the period is 300 nm. (e) Calculated total electric field intensity for one BP nanostrip unit cell in Y-Z plane. The thickness of the quartz between BP and metal mirror is 6 µm. The width of the BP strip is 150 nm and the period is 300 nm. (f). Absorption spectra of BP nanostrip arrays for various values of Fermi levels between 0.2 eV and 1 eV. The thickness of the quartz between BP and metal mirror is 3 µm. The width of the BP strip is 150 nm and the period is 300 nm.

Download Full Size | PPT Slide | PDF

Fig. 3. (a) Absorption spectra of the monolayer BP nanostrip array along x direction at the wavelength of 6-30 µm at six different widths (i.e., width = 50, 70, 90, 110, 130 and 150 µm) with a fixed thickness of the quartz of 6 µm. (b) The enlarged view of the first absorption peak in dotted box of Fig. 3(a).

Download Full Size | PPT Slide | PDF

Fig. 4. (a) Schematic diagram of metal grating slit structure, f is the period of grating, h is the height of the grating, g is the width of slit and H is the height of slit. Inset is the side view of the gap,

$\theta $

presents the angle of incident light. (b) The front view of input grating structure and (c) output grating structure. (d) Transmission spectral of the metal grating slit of three different structures. (e)Transmission spectral of the metal grating slit at the wavelength of 6-20 µm with three different periods (i.e., f = 1, 2, and 3 µm) of the grating. (f) Transmission spectral of the metal grating slit at the wavelength of 6-20 µm with four different heights (i.e., h = 2, 2.5, 3, and 3.5 µm) of the grating. (g) Transmission spectral of the metal grating slit at the wavelength of 6-20 µm with three different slit widths (i.e., g = 1, 3, and 5 µm) of the slit. (h) Transmission spectral for various incident angles of the metal grating slit. The yellow dotted line is the fitting result of coupled-mode theory of metal grating structure in the case of vertical incidence.

Download Full Size | PPT Slide | PDF

Fig. 5. The electric field distribution in the X-Z plane at a wavelength of (a) 6.56µm and (b) 12.3µm when g = 1µm. The electric field distribution in the X-Z plane at a wavelength of (c) 10.5µm and (d) 14.3µm when g = 5µm.

Download Full Size | PPT Slide | PDF

Fig. 6. (a) Schematic diagram of the hybrid structure. (b) Front view of this hybrid structure, d is the distance between the BP nanostrip array and the metal grating slit structure. (c) Absorption spectra of the hybrid structure along x direction at the wavelength of 6-20 µm with three different distances (i.e., d = 1, 2 and 3 µm). (d) The absorption spectra of the BP nanostrip array, the transmission spectra of the metal grating slit structure and the absorption spectra of the hybrid structure. (e) The electric field distribution in the X-Z plane at the absorption peak of 8.9µm in Fig. 6(d). (f) Absorption spectra of the hybrid structure with different materials (i.e., air and MgF₂) between the BP nanostrip and the Au grating.

Download Full Size | PPT Slide | PDF

Equations (9)

Equations on this page are rendered with MathJax. Learn more.

ε_{j} = ε_{r} + \frac{i σ_{j}}{s ω ε_{0}}

σ_{j} = \frac{i D_{j}}{π (ω + \frac{i η}{ℏ})}

D_{j} = \frac{π e^{2} n}{m_{j}}

m_{x} = \frac{ℏ^{2}}{2 \frac{γ^{2}}{Δ} + η_{c}}, m_{y} = \frac{ℏ^{2}}{v_{c}}

n = (π ℏ^{2})^{- 1} (m_{x} m_{y})^{0.5} k_{B} T \ln [1 + \exp (E_{F} / k_{B} T)]

λ_{s p j} = c \sqrt{\frac{2 π m_{j} ε_{0} (ε_{1} + ε_{2}) p ζ}{n e^{2}}}

S = C + \frac{d \cdot k^{*}}{j (ω - ω_{0}) + 1 / τ}

S_{1} = exp (j ϑ) {[\begin{array}{cc} r & j v \\ j v & r \end{array}] + \frac{1 / τ}{j (ω - ω_{0}) + 1 / τ} [\begin{array}{cc} - (r \pm j v) & \mp (r \pm j v) \\ \mp (r \pm j v) & - (r \pm j v) \end{array}]}

T = 1 - \frac{r^{2} {(ω - ω_{0})}^{2} + v^{2} {(1 / τ)}^{2} + 2 r v (ω - ω_{0}) (1 / τ)}{{(ω - ω_{0})}^{2} + {(1 / τ)}^{2}}